A population of values has a normal distribution with $\displaystyle \mu={115.6}$ and $\displaystyle \sigma={48.2}$. You intend to draw a random sample of size $\displaystyle {n}={235}$.

1. Find the probability that a single randomly selected value is greater than 113.7.
   P(X > 113.7) = Round to 4 decimal places.
   
   
2. Find the probability that the sample mean is greater than 113.7.
   P($\displaystyle \overline{{X}}$ > 113.7) = Round to 4 decimal places.

Answers obtained using exact z-scores or z-scores rounded to 2 decimal places are accepted.